Van Kampen's expansion approach in an opinion formation model

We analyze a simple opinion formation model consisting of two parties, A and B, and a group I, of undecided agents. We assume that the supporters of parties A and B do not interact among them, but only interact through the group I, and that there is a nonzero probability of a spontaneous change of o...

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Bibliographic Details
Published inarXiv.org
Main Authors M S de la Lama, Szendro, I G, Iglesias, J R, Wio, H S
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 07.03.2006
Subjects
Fokker-Planck equation
Variations
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Summary:We analyze a simple opinion formation model consisting of two parties, A and B, and a group I, of undecided agents. We assume that the supporters of parties A and B do not interact among them, but only interact through the group I, and that there is a nonzero probability of a spontaneous change of opinion (A->I, B->I). From the master equation, and via van Kampen's Omega-expansion approach, we have obtained the "macroscopic" evolution equation, as well as the Fokker-Planck equation governing the fluctuations around the deterministic behavior. Within the same approach, we have also obtained information about the typical relaxation behavior of small perturbations.
ISSN:2331-8422
DOI:10.48550/arxiv.0603047